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Simplifying 2(x + 2) = 12 + -2x Reorder the terms: 2(2 + x) = 12 + -2x (2 * 2 + x * 2) = 12 + -2x (4 + 2x) = 12 + -2x Solving 4 + 2x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 2x + 2x = 12 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = 12 + 0 4 + 4x = 12 Add '-4' to each side of the equation. 4 + -4 + 4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 12 + -4 4x = 12 + -4 Combine like terms: 12 + -4 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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